Tropical Geometry, Berkovich Spaces,

Arithmetic D-Modules and p-adic Local Systems

Imperial College of London

8-9-10 December 2020


Tomoyuki Abe (Kavli IPMU, Japan)
Vladimir Berkovich* (Weizmann Institute, Israel)
Roman Bezrukavnikov (Massachusetts Institute of Technology, USA)
Andreas Bode (Ecole Normale Superieure Lyon, France)
Bruno Chiarellotto* (University of Padova, Italy)
Richard Crew (University of Florida, USA)
Angelica Cueto* (The Ohio State University, USA)
Veronika Ertl (Universität Regensburg, Germany)
Hélène Esnault (Freie Universität Berlin, Germany)
Alex Fink (Queen Mary University of London, UK)
Jeffrey Giansiracusa (Swansea University, UK)
Michel Gros (Université de Rennes, France)
Walter Gubler* (Universität Regensburg, Germany)
Christine Huyghe (Université Strasbourg, France)
Mattias Jonsson (University of Michigan, USA)
Kiran S. Kedlaya (University of California, San Diego, USA)
Christian Liedtke (Universität München, Germany)
Diane Maclagan* (University of Warwick, UK)
Wiesława Nizioł (Sorbonne Université IMJ-PRG, Paris, France)
Samuel Payne* (University of Texas, Austin, USA)
Tobias Schmidt (Universtité de Rennes, France)
Peter Schneider* (Universtität Münster, Germany)
Michael Temkin (Hebrew University of Jerusalem)
Martin Ulirsch (Goethe Universität, Frankfurt, Germany)
Masha Vlasenko (Institute of Mathematics of the Polish Academy of Sciences, Warsaw)
Simon Wadsley* (University of Cambridge, UK)
Annette Werner (Goethe Universität, Frankfurt, Germany)

* Cancellation due to the Covid-19 pandemic


Stefano Mereta (Swansea University, UK & Université Grenoble Alpes, France)
Florian Viguier (Université de Strasbourg, France)


The format of the conference switched to a virtual form due to the conditions related to the pandemic and the impossibility to maintain part of the funding for a further date. We also decided to shrink the global time in front of the screen, because in this exceptional period almost everybody has personal or teaching duties. Moreover, we needed to take into account the fact that the speakers came from different time zones. For these reasons the schedule of live-talks was reduced to the short interval of time which is (relatively) compatible with European and US working time. The other talks were pre-recorded and could be watched by the audience in the complement of the schedule time. In order to increase the connections between the participants, the new format included a system of chats where the participants could communicate and ask questions about the talks. For every talk, a link to a dedicated virtual room was activated, permitting to the audience to communicate with the speakers using ZULIP (an open source chat and collaborative software). We maintained ZULIP ongoingly active for the total time of the conference (day and night) in order to permit exchanges between people of different time zones.

IMPORTANT : Latex math symbols are supported by Zulip here is an example

All talk have been recorded and uploaded as soon as possible (ideally few time after the talk) in the dedicated page.


The organizers wish to thank all participants for their patience.
We are also grateful to all of the speakers for their work with the videos and their help in the organization, which made this meeting possible in such a short time and difficult circumstances.
We are grateful to all the sponsors which made this meeting possible.
Finally, we wish to express our gratitude to Fanny Bastien for her work on the poster and the videos.

SCHEDULE (London time zone)

and in this DEDICATED PAGE.


The theory of Berkovich spaces is a powerful and elegant approach to analytic geometry over non-archimedean fields. Over the past decade it has found many striking applications in areas such as arithmetic geometry, p-adic differential equations, and dynamics. Running through many of these recent developments is a thread of tropical geometry. In some cases the tropical link is already firmly established, while in others it is not yet more than a promising hint. Our view is that there is now an exciting potential to forefront the role of Tropical geometry while exploring the application of Berkovich theory in the intersecting areas of arithmetic D-modules, non-archimedean representation theories and p-adic local systems. This conference brings together leading experts in each of these areas in order to energize this vision and establish appropriate links.

With this workshop we would like to promote the interaction between the following five fields:

Berkovich spaces
Tropical geometry
p-adic differential equations
Arithmetic D-modules and representations of p-adic Lie groups
Arithmetic applications of p-adic local systems

While the first two are already tightly linked, the role of Berkovich spaces in the last ones is only emerging and within this, the role of tropical geometry has not yet been explored. More generally, we consider this conference to be a good opportunity to study new techniques recently introduced into the field. We are convinced that each of these areas has plenty of potential and that a fruitful interaction between them might nourish their development. The aim of the conference is precisely to give leading experts in these each of these domains the opportunity to meet, present their last results and open challenges, and encourage an exchange that will drive forward these exciting and rapidly developing subjects.


Andrea Pulita (Université Grenoble Alpes, France)
Ambrus Pal (Imperial College of London, UK)

Scientific Committee:

Konstantin Ardakov (Oxford University, UK)
Jeffrey Giansiracusa (Swansea University, UK)
Jérôme Poineau (Université de Caen Normandie, France)